Two people working together can mow a lawn in 72 minutes. When working separately, one person can mow the lawn one hour faster than the other. How much time would it take for

each person to mow the lawn when working separately?

In the figure below, ∠dec ≅ ∠dce, ∠b ≅ ∠f, and segment df is congruent to segment bd. point c is the point of intersection between segment ag and segment bd, while point e is the point of intersection between segment ag and segment df. the figure shows a polygon comprised of three triangles, abc, dec, and gfe. prove δabc ≅ δgfe.